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Answer:

1 1/6

Step-by-step explanation:

Answer:

The answer is 1 1/6

Step-by-step explanation:

The reason why this answer is 1 1/6 is that you're dividing the numbers 7 and 6 which equals 1.16. So, 1 is the quotient and the other 1 is the remainder, and 6(denominator) stays in the fraction as the denominator. One goes into a whole number and the other one goes into the numerator, while the six stays in the denominator (1 1/6).

The width of the prism is, 12 centimeter.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A rectangular prism has a length of 14 centimeters, a height of 4 1/2 centimeters, and a volume of 756 cubic centimeters.

Let the width of the prism = x

Now, We know that;

⇒ Volume of prism = Length × Width × Height

Substitute all the given values, we get;

⇒ 756 = 14 × x × 4 1/2

⇒ 756 = 14 × 9/2 × x

⇒ 756 = 63x

⇒ x = 756 / 63

⇒ x = 12 centimeter

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The property used here is the associative property of Multiplication.

According to the Associative property, when 3 or more numbers are added or multiplied, the result (sum or the product) remains the same even if the numbers are grouped in a different way. Here, grouping is done with the help of brackets. This can be expressed as, a × (b × c) = (a × b) × c and a + (b + c) = (a + b) + c.

Given here: 2(5⋅33)=(2⋅5)⋅33

                                =10(33)

                                 =330

Clearly the property a × (b × c) = (a × b) × c is used here

Hence, The property used here is the associative property of Multiplication.

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The amount that you need to save to be able to buy the car in four years time, given the interest rate is RM55, 480.20

The amount to be saved every year is an annuity because it is a certain amount and the price of the car would therefore be the future value of the annuity.

The amount to be saved therefore is:
250, 000 = Savings x Future value interest factor of annuity, 8 %, 4 years

250, 000 = Savings x 4.506112

Savings = 250, 000 / 4.506112

Savings = 55, 480.20

The amount to save is RM55, 480.20

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The expression that represents the total amount of money Arianna earns this week is 3c + 2c + 95.

What is an algebraic expression?

An algebraic expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. The variables in the expression represent unknown values, and the numbers and operations determine how the variables are related.

The expression that represents the total amount of money Arianna earns this week is:

3c + 2c + 95

Where,

c represents the amount of money Arianna earns per hour cutting hair.

This expression represents the total amount of money Arianna earns from cutting hair (3c + 2c) and the amount of money she earns from answering phones (95).

The other expressions listed in the options do not correctly represent Arianna's earnings.

Hence, the expression that represents the total amount of money Arianna earns this week is 3c + 2c + 95.

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6/6 can't be a mixed number.. it's simply just 1.

Solving the question provided, we can say that cos(x) = 12/15 in trigonometry. So the value of tan(2x) according to the given equation is 38.07588924.

The mathematical branch of trigonometry examines the relationship between the side lengths and angles of a triangle. The area first appeared in the Hellenistic period around the 3rd century BC. From the use of geometry in the study of astronomy. The branch of mathematics known as exact methods deals with certain trigonometric functions and how they can be used in calculations. There are six common trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecane are their respective names and acronyms (csc). The study of the properties of triangles, especially right triangles, is called trigonometry. However, the study of geometry is characteristic of all geometric figures.

To find tan(2x) you can use the identity.

[tex]tan(2x) = (2tanx) / (1 - (tan^2)x)[/tex]

To find tan x, we can use the identity.

tanx = sinx / cosx

Since cos(x) = 12/25 in quadrant I, we can use the following procedure:

find sinx with sin(x) = [tex]sqrt(1 - (cos^2)x)[/tex] = [tex]sqrt(1 - (12/25)^2)[/tex] = [tex]sqrt(1 - 144/625)[/tex] = [tex]sqrt(481/625)[/tex]

Find tanx with tanx = sinx / cosx =

sqrt(481/625) / (12/25)

Substitute this tanx value into the first ID to find tan(2x).

Sunburn (2x) =

[tex]tan(2x) = (2 * sqrt(481/625) / (12/25)) / (1 - (481/625))\\ = (2 * sqrt(481) / (3 * 5)) / (144/625) \\=(2 * sqrt(481)) / (144/125)[/tex]

According to the given formula, the value of tan(2x) is 38.07588924.

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Answer:

3.75

Step-by-step explanation:

The classification of the ordered pairs as functions and not functions are as follows;

{(2, 2), (4, 4), (6, 6), (8, 8)} is a function

{(0, 3), (3, 5), (5, 6), (8, 4)} is a function

{(1, 2), (3, 3), (4, 8), (6, 3)} is a function

{(3, 4), (5, 2), (5, 6), (7, 3)} is not a function

A function is a rule, law or definition that maps the elements of a set of values known as the input, to the elements of a set of values known as the output, such that each element of the input element is mapped to exactly one output element.

The values in each of the set of ordered pairs can be arranged into an input and output set as follows;

{(2, 2), (4, 4), (6, 6), (8, 8)}

Input   [tex]{}[/tex] Output

2  [tex]{}[/tex]     ⇒    2

4      [tex]{}[/tex] ⇒    4

6 [tex]{}[/tex]      ⇒    6

8 [tex]{}[/tex]      ⇒    8

In the above mapping, each input is mapped to exactly (only) one value of the output, such that the relationship is a function.

{(0, 3), (3, 5), (5, 6), (8, 4)}

Input   [tex]{}[/tex] Output

0  [tex]{}[/tex]     ⇒    3

3      [tex]{}[/tex] ⇒    5

5 [tex]{}[/tex]      ⇒    6

8 [tex]{}[/tex]      ⇒    4

In the above mapping, each input is mapped to exactly (only) one value of the output, such that the relationship is a function.

{(1, 2), (3, 3), (4, 8), (6, 3)}

Input   [tex]{}[/tex] Output

1  [tex]{}[/tex]     ⇒    2

3      [tex]{}[/tex] ⇒    3

4 [tex]{}[/tex]      ⇒    8

6 [tex]{}[/tex]      ⇒    3

In the above mapping, each input is mapped to exactly (only) one value of the output, such that the relationship is a function.

{(3, 4), (5, 2), (5, 6), (7, 3)}

Input   [tex]{}[/tex] Output

3  [tex]{}[/tex]     ⇒    4

5      [tex]{}[/tex] ⇒    2

5 [tex]{}[/tex]      ⇒    6

7 [tex]{}[/tex]      ⇒    3

In the above mapping, the input value of 5 has two output values of 2 and 6, therefore, the input, 5 maps to two values of the output, 2 and 6, which indicates that the relationship is not a function

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The area of the hexagon will be 288 cm².

Given is that the apothem of a regular hexagon is 12 cm and the side length is 8 cm.

We can write -

A = apothem x 1/2{na}

A = 12 x 1/2{6 x 8}

A = 12 x 24

A = 288 cm²

Therefore, the area of the hexagon will be 288 cm².

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The number, based on the fact that one quarter of the difference between the number and 3, is - 1, is - 1

The number can be denoted as x in which case, the formula of the situation would be:

1 / 4 ( x - 3 ) = - 1

The number can then be solved for by looking for the value of x with the quarter constraint :

1 / 4 ( x - 3 ) = - 1

x - 3 = - 1 / ( 1 / 4)

x = -4 + 3

x = - 1

The number is therefore -1

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Answer:

245

Step-by-step explanation:

140 x 1.75 = 245

Answer:

AC = 19

Step-by-step explanation:

ignore the other work on the paper

Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

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There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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f'(2) is not differentiable at =2 .

In mathematics, a differentiable function of one real variable is a function whose derivative exists at each point in its domain

here, we have,

given that,

f(x)={ 2-x if x <= 2 ,

      { x if x >2

at, x=2,

f(2)= 0

so, f'(2) is not differentiable at =2 .

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The area of the decagon is approximately 312.2 cm2. This can be calculated using the formula A = (1/2) × 10 × 14.26^2 × sin (36°).

A = (1/2) * 14.26 cm * (9.15 cm * 10)

A = (1/2) * 14.26 cm * 91.5 cm

A = 654.71 cm^2

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Answer:

Step-by-step explanation:

We can use trigonometry for this.

Cos x = Adjacent/ Hypotenuse

cos 27° = 15/c

c = 15/cos 27 = 16.835 inch ≈ 17 inches

A) A 747 Airplane is 762 inches tall. 762 inches is equal to 63.5 feet, so the airplane is 63.5 feet tall.

An airplane is a type of aircraft that is heavier than air and propelled by one or more jet engines. It is used for transport across long distances, typically carrying passengers and cargo.

The river raft ride at the amusement park can hold 12 riders at a time. 527 people divided by 12 riders per ride is 44.75. This means the ride will need to run 44 times in order to get all 527 people through the ride.
One school bus can hold 46 students. There are 24 students in each of the 5 fifth grade classes. 24 students times 5 classes is 120 students, so they will need 3 buses in order to transport everyone to the zoo for a field trip.
Write and solve a word problem that requires long division AND has a remainder.
Samantha has 192 lollipops. She wants to evenly divide them into bags of 10. How many bags will she need and how many lollipops will be left over?
192 divided by 10 is 19 with a remainder of 2. Samantha will need 19 bags and will have 2 lollipops left over.

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The number line can be represented by the equation option D: -6 + 5 =- 1.

What is a number line?

A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals.

The number line is given in the image.

It shows that the arrow is moving from positive to negative side.

The units for which the arrow is moving is = -6

Five units are left before the arrow on the left hand side.

Therefore, the equation is -6 + 5 = -1

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The equation of line that passes through (4,3) and is parallel to x + y = 6 is y = -x + 7.

The slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equation of the original line

x + y = 6

y = -x + 6

Using the slope intercept, slope m is -1

The equation of a parallel line to y = -x + 6 must have a slope similar to the original slope.

Slope of parallel line = -1

Plug the slope m = -1 and point (4,3) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - 3 ) = -1( x - 4 )

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Therefore, the equation of the parallel line is y = -x + 7.

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Answer:

C $12,000

Step-by-step explanation:

$54 × 218 = 11,772

11,772 - 10,500 = 1772

12,000 - 11,772 = 228

Therefore,

12 000 is the nearest number for total sales

The measure of the given angles are -

m∠1 = 80°

m∠2 = 10°

Two angles are called complementary when their measures add to 90 degrees.

Given is a complementary angles pair as shown.

We can write -

∠1 + ∠2 = 90

x + (11x - 30) = 90

12x - 30 = 90

12x = 120

x = 10

m∠1 = 11x - 30 = 11 x 10 - 30 = 110 - 30 = 80°.

m∠1 = 80°

m∠2 = x = 10°.

m∠2 = 10°

Therefore, the measure of the given angles are -

m∠1 = 80°

m∠2 = 10°

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SSS and SAS are the two cases can be solved using the Law of Sines.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

To use the law of sines we need to know two angles and one side or two sides and one angle which should be opposite to one of known sides.

SSS - unable to solve as no angle is known

AAS - two angles and non-included side, able to find the missing angle solve the rest

ASA - two angles and the included side, able to find the missing angle solve the rest

SAS- two sides and the included angle, unable to solve

SSA - two sides and non-included angle, able to find the other angles and solve fully

Hence, SSS and SAS are the two cases can be solved using the Law of Sines.

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So, on solving the provided question we can say that the equation =  -2^4 is different

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here,

the equation -

-2^4

(-2)^4

(-2)(-2)(-2)(-2)

2^4

in these  -2^4 is different

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The price of the couch after the markup gotten during a sale, a store offered a 30% discount on a couch that originally sold for $870 is $791.70.

The concept that will be used here is the discounted price . The discount is represented in the advertisement as a percentage off the list price. As a result, a sale price of $70 will be achieved with a 30% discount on a $100 list price. Another way to understand the phrase is to say that it simply refers to the selling price of an item.

The  price of the couch after the markup can be determine as :

$870 * (1 + 30% ) *  (1 - 30% )

Then this can be simplifIed as :

= $870  *1.3 * 0.7

=$ 791.7

Then Rounding up to the nearest cent will give $ 791.70

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The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation: